Mechanical Engineering

Hello Jayant,
No, your rank in WBJEE is far beyond to get any branches in Heritage Institute of Technology, Kolkata. However, check here to know your probable colleges:
https://www.shiksha.com/b-tech/resources/wbjee-college-predictor
Best wishes.

No option to change branch.

From my opinion you have to go for Bachelor degree in mechanical Beanch you can also joint a job as you have a degree of diploma .Best of luck for your future and if any Query feel free to ask.

Yes, with the rank of 1002 in AUEET, you will definitely get a seat in the Mechanical branch. Your rank is too good.
On the basis of that, you will get admission. Best of luck for your future and if there's any query, feel free to ask.

See UDIT Doing mechanical engineering is not like doing MBA ao u need not to do any short term course. It will be a total time waste. Instead of that prepare yourself for your engineering degree 1st year courseware. Read and Learn subjects like Mathematics, Chemistry, Mechanics, Physics this will help you there not those short term courses.

Hello Vishwash,
Both the choices you are considering are pretty well. So, you can approach in any direction, however I will suggest you to go for NITs only because government colleges do have bit of edge than a private colleges no matter how good it is. Best wishes.